What is the Least Common Multiple of 81376 and 81380?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 81376 and 81380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81376 and 81380, than apply into the LCM equation.

GCF(81376,81380) = 4
LCM(81376,81380) = ( 81376 × 81380) / 4
LCM(81376,81380) = 6622378880 / 4
LCM(81376,81380) = 1655594720

Least Common Multiple (LCM) of 81376 and 81380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81376 and 81380. First we will calculate the prime factors of 81376 and 81380.

Prime Factorization of 81376

Prime Factorization of 81380

Now multiplying the highest exponent prime factors to calculate the LCM of 81376 and 81380.

LCM(81376,81380) = 2⁵ × 2543¹ × 5¹ × 13¹ × 313¹
LCM(81376,81380) = 1655594720